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Popular >

simplify log_{7}(42)

Solution

simplify

lo g_{7} (42)

Solution

1 + lo g_{7} (6)

+1

Decimal Notation

1.92078 \dots

Solution steps

lo g_{7} (42)

Factor the number:

42 = 7 \cdot 6

= lo g_{7} (7 \cdot 6)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (7 \cdot 6) = lo g_{7} (7) + lo g_{7} (6)

= lo g_{7} (7) + lo g_{7} (6)

Apply log rule:

lo g_{a} (a) = 1

lo g_{7} (7) = 1

= 1 + lo g_{7} (6)

Popular Examples

\frac{25}{16}

simplify log_{7}(5)*log_{2}(7)*log_{5}(64)simplify

lo g_{7} (5) \cdot lo g_{2} (7) \cdot lo g_{5} (64)

expand (a+3b)^2 expand

(a + 3 b)^{2}

simplify-3^1 simplify

- 3^{1}

expand (3x+7)(3x-7)expand

(3 x + 7) (3 x - 7)

Frequently Asked Questions (FAQ)

What is log_{7}(42) ?
The solution to log_{7}(42) is 1+log_{7}(6)